Realisations of Racah algebras using Jacobi operators and convolution identities
From MaRDI portal
Publication:6184900
DOI10.1016/j.aam.2023.102620arXiv2304.00820OpenAlexW4387550745MaRDI QIDQ6184900
Loïc Poulain d'Andecy, Quentin Labriet
Publication date: 29 January 2024
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.00820
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Superintegrability in two dimensions and the Racah-Wilson algebra
- A discrete realization of the higher rank Racah algebra
- A difference equation and Hahn polynomials in two variables
- On the diameter of the rotation graph of binary coupling trees
- Racah algebras, the centralizer \(Z_n(\mathfrak{sl}_2)\) and its Hilbert-Poincaré series
- Hahn, Jacobi, and Krawtchouk polynomials of several variables
- Representations of the rank two Racah algebra and orthogonal multivariate polynomials
- Tridiagonalization of the hypergeometric operator and the Racah–Wilson algebra
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- New construction of 3nj-symbols
- Coupling coefficients for Lie algebra representations and addition formulas for special functions
- Convolutions for Orthogonal Polynomials from Lie and Quantum Algebra Representations
- 3nj-coefficients of su(1,1) as connection coefficients between orthogonal polynomials in n variables
- A geometrical point of view for branching problems for holomorphic discrete series of conformal Lie groups
- The Heun operator of Hahn-type
- The Askey–Wilson algebra and its avatars
- Two linear transformations each tridiagonal with respect to an eigenbasis of the other
This page was built for publication: Realisations of Racah algebras using Jacobi operators and convolution identities
